2d shapes have an area and 3d shapes have a volume. Is it still called volume on 4d shapes? It shouldn’t be right?

Question

2d shapes have an area and 3d shapes have a volume. Is it still called volume on 4d shapes? It shouldn’t be right?

In: Mathematics

Answer 1

Generally speaking, “area” refers to an outer surface, while “volume” refers to an interior space.

So a 4D interior space is still called a volume. The 4D object also has an outer (or enclosing) surface called an area.